Respuesta :

Answer:

Let's understand the concept:-

  • Here 12 is 90% of a number.
  • So we can say that 90% of That number is 12 .
  • In this way we can get the the number

Solution:-

Let,

the number=x

According to the question ,

[tex]{:}\longrightarrow[/tex][tex]\sf 90\% \:of \;x=12 [/tex]

  • We know 90%=90/100
  • so add it

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {90}{100}}\times x=12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {90x}{100}}=12 [/tex]

  • Now use cross multiplication method

[tex]{:}\longrightarrow[/tex][tex]\sf 90x=12\times 100 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 90x=1200 [/tex]

  • Now interchange sides .

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {1200}{90}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {200}{15}}[/tex]

  • Answer will come in decimals so we take approximate value.

[tex]{:}\longrightarrow[/tex][tex]\sf x=13.3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=approximately \:13[/tex]

[tex]\therefore[/tex]The number is 13.

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